Finding the Fourth Proportional to 1,086.16, 1,628.56 and 469.53

Step by Step Solution

1. Step 1: Write the proportion equation
   1,086.16 : 1,628.56 = 469.53 : x
2. Step 2: Convert to fraction form
   1,086.16/1,628.56 = 469.53/x
3. Step 3: Cross multiply
   1,086.16x = 1,628.56 × 469.53
4. Step 4: Simplify right side
   1,086.16x = 764,657.78
5. Step 5: Solve for x
   x = 764,657.78/1,086.16
6. Step 6: Final answer
   x = 704.00